SOLUTION: The measure of an angle is 20 less than the measure of its supplement. Find the measure of the angle, the measure of its supplement and the measure of its complement.

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Question 87902: The measure of an angle is 20 less than the measure of its supplement. Find the measure of the angle, the measure of its supplement and the measure of its complement.
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
There are two ways to solve this one. I think this is the easier of the two methods.

Let x = the complement
x-20 = the angle

The sum of the angle and its complement is 90 degrees.
x + x-20 = 90
2x = 110
x = 55 degrees (the complement)
x-20= 45 degrees (the angle)

It checks since 55+45 = 90 degrees.

R^2 Retired from SCC